1,954 Answered Questions for the topic linear algebra

Linear Algebra

05/02/21

Linear algebra question

Let T: R3 → R3 be a linear transformation such that T(1, 0, 0) = (−1, 2, 4), T(0, 1, 0) = (−2, 1, 3),and T(0, 0, 1) = (0, 2, −2). Find the indicated image. T(0, 1, −3)
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Linear Algebra Algebra

05/02/21

-4x+y=-5 8x-2y=10 solve by elimination

This is how I worked it:2(-4x+y=-5) = -8x+2y=-108x-2y=10-8x+2y=-10(the x and y cancels each other out, leaving 10 and -10, which are false, so I got no solution)But when I used a calculator, it... more
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Linear Algebra Algebra

05/01/21

-20y-10x=10 -8x-8-16y=0 use elimination to solve it.

For me, I somehow got "no solution" but I know the answer is "infinitely many", I just don't know how to get it. Please help. Thank you.
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04/30/21

Show that B is the inverse of A.
A = -1/2 -5/4 B = 8 5 1 2 -4 -2To show that B is the inverse of A, we need to show that AB = I = BA.AB = -4 + ___ -5/2 + ___ ... more
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Linear Algebra Math Calculus Precalculus

04/30/21

Use an inverse matrix to solve (if possible) the system of linear equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, set y = a and solve for x in terms of a.)
5/6x - y = -184/3x - 7/2y = -44(x,y) = _____
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Linear Algebra Math Linear Equations Maths

04/30/21

Find the new quadratic form?
Classify the quadratic form below. Then make a change of​ variable, x=Py​, that transforms the quadratic form into one with no​ cross-product terms. Write the new quadratic... more
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Linear Algebra Math Linear Equations Maths

04/30/21

Find the new quadratic form
Classify the quadratic form below. Then make a change of​ variable, x=Py, that transforms the quadratic form into one with no​ cross-product term. Write the new quadratic form.2x21 + 8x1x2+2x22What... more
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Linear Algebra

04/29/21

Linear Algebra (Vector)
Determine whether or not the set of vectors identified is a subspace of:#1.R3 if U={vectors whose length does not exceed 1} , i.e., U= {(a, b, c): a² + b² + c² ≤1}
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Linear Algebra

04/29/21

Linear Algebra (Vector)
 Tell whether or not W can be written as a linear combination of the vectors in S. If yes, find the values of a , b and c ∈ R.Problem #1.W(-4, 3, 5) and S = { (1, -1, -2), (5, -4, -7), (-3, 1, 0)}
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Linear Algebra

04/29/21

Linear Algebra (Vector)
Determine whether or not the set of vectors identified is a subspace of:#1.     R3 if W is the set of all vectors of the form (x, y, 1) under the usual vector addition and scalar multiplication.
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Linear Algebra

04/28/21

Linear Algebra: Orthogonal basis additon
Let W = span([-1,3,0], [2,2,1]), and v = [5,1,2]. Write down v as sum of two vectors v1 in W and v2 in W complement
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Linear Algebra Math Algebra 1 Algebra 2

04/27/21

What algebraic expression matches this graph?
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Linear Algebra Math Algebra 1 Algebra 2

04/27/21

What algebraic expression matches this graph?
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Linear Algebra Math Calculus Precalculus

04/23/21

Use a graphing utility to perform the indicated operations.
A = 2 0 and B = 5 3 4 5 1 4B2 − 3B + 7Ɪ2= _____ ______ ______ ______
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Linear Algebra Linear Equations

04/23/21

how do I solve this? 2 (x+3) > 6(x-1)
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Linear Algebra

04/21/21

if the slope is -7. what is the perpendicular slope?

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Linear Algebra

04/21/21

Need help with this proof
Let {~v1, · · · ~vm} ⊂ Rn be a linearly independent set. Let L ∈ Rm×n . Prove that, if null(L) = {~0}, then {L~v1, · · · L~vm} ⊂ Rm is a linearly independent set.
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Linear Algebra

04/20/21

Given an example of a set S with two binary operations such that S is closed under those binary operations but is not a vector space with respect to them.
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Linear Algebra

04/20/21

Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans R3. Is this set linear independent?
Determine whether the set {(2, 0, 1), (1, 1, 0), (0, 0, 1)} spans . Is this set linear independent?
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Linear Algebra

04/20/21

See subsets in Description below, graph these subsets separately and determine whether either of them is a subspace of V.
Consider as a vector space with the standard operations, and the subsets W1:={(x, y) ∈ V | xy = 0} and W2:={(x, y) ∈ V | x + y = 0} of V. Graph these subsets separately and determine whether... more
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Linear Algebra

04/17/21

Question from the topic "Linear Algebra"

Consider the vector space V = R+ × R+ × R+, where R+ is the set of all positive real numbers withaddition and scalar multiplication defined by (x1, y1, z1) ⊕ (x2, y2, z2) =... more
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Linear Algebra Math Algebra 2 Calculus

04/17/21

State the elementary row operations applied to the first augmented matrix A to transform it to its row-equivalent matrix B.
A = 1 −2 7 6 4 1 B = 1 −2 7 0 16 −41 A: 2R2 + R1B: 5R2 - 15R1C: (-6)R1 + R2D: Interchange R1 and R2E: None of these
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Linear Algebra Math Algebra 2 Calculus

04/17/21

Use matrices and Gauss-Jordan elimination to solve systems of linear equations
The matrix 1 0 4 0 0 1 −6 −1 0 0 −5 5 can be reduced in the row echelon form 1 0 0 a 0 1 0 b 0 0 1 c where a, b, and c are real numbers. Find a. (Enter an exact number.)a = ____
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Linear Algebra Mathematics

04/14/21

17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 apple cost? How much does 1 orange cost?
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Linear Algebra

04/09/21

math help please
The Simmons family and the Taylor family each used their sprinklers last summer. The Simmons family's sprinkler was used for 20 hours. The Taylor family's sprinkler was used for 15 hours. There was... more
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